Carrousel in family and non-isolated hypersurface singularities in C³

2010/11/30 by Michel, Françoise, Pichon, Anne
#14J17 #32S25 #57M25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1011.6503

Abstract

We study the boundary L_t of the Milnor fiber for the reduced holomorphic germs f:(\Bbb C³,0) → (\Bbb C,0) having a non-isolated singularity at 0. We prove that L_t is a graph manifold by using a new technique of carrousel depending on one parameter varying on a circle. Our results enable one to compare the topology of L_t and of the link of the normalization of f^-1(0).

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